2021/01/18 by Sebastian Burciu · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Advanced Algebra and Geometry
paper · doi:10.1112/blms.12459
In this paper, we study conjugacy classes for pivotal fusion categories. In particular, we prove a Burnside type formula for the structure constants concerning the product of two conjugacy class sums of such a fusion category. For a braided weakly integral fusion category C, we show that these structure constants multiplied by dim ( C ) are non-negative integers, extending some results obtained by Zhou and Zhu (see Preprint, 2019, arXiv:1912.07831v1) in the settings of semisimple quasitriangular Hopf algebras.